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28 votes
28 votes
A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmounted on it. If the common radius is 7 m and height of the cone is 1 m, what is the area of cloth required?

A) 262.39m2
B) 463.39m2
C) 662.39m2
D) 563m2
pls help me! :(​

User Neil Hewitt
by
2.6k points

1 Answer

21 votes
21 votes

Answer:

  • (B) 463.39 m²

Explanation:


\space

Surface area of hemisphere = 2πr²

=> 2×22/7× (7)² = 308 m²

For calculating the surface area of a cone we need to calculate its slant height,


\sf{ \leadsto \: 1 = √(49 + 1) = √(50 \: ) m}


\space


\sf{ \leadsto \: \pi \ r1 = (22)/(7) * 7 * √(50) = 463.39 \: {m}^(2) }


\: \:

Hope it helps!

Have a great day! :)

User Jordy Van Eijk
by
3.1k points
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